IDEAS home Printed from https://ideas.repec.org/a/wly/navlog/v30y1983i3p471-485.html
   My bibliography  Save this article

A closed‐from approach for multi‐item inventory grouping

Author

Listed:
  • Vijay Aggarwal

Abstract

The problem of optimally coordinating the replenishments of the many items in stock with one another is dealt with in this article. Specifically, it considers this coordination based on classifying the items into a few groups with common order cycles for all the items in a particular group. Assuming that the cumulative distribution by value of the inventory can be characterized by a Pareto function of the type f(n) = n/(an + b), (a, b > 0), it establishes that the optimal boundaries of the groups can be obtained as closed‐form expressions by solving a system of simultaneous equations. The composition of the successive groups thus obtained is found to equipartition the total cost and to follow geometric sequences in relation to the number of items, the value of items, and the lengths of the order cycles. Graphs have been proposed to aid the implementation of the grouping scheme. Simple iterative schemes are outlined within the framework of the Pareto function to handle other relevant costs.

Suggested Citation

  • Vijay Aggarwal, 1983. "A closed‐from approach for multi‐item inventory grouping," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 30(3), pages 471-485, September.
    • Handle: RePEc:wly:navlog:v:30:y:1983:i:3:p:471-485
    DOI: 10.1002/nav.3800300312
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/nav.3800300312
    Download Restriction: no
    File URL: https://libkey.io/10.1002/nav.3800300312?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sheikh-Zadeh, Alireza & Rossetti, Manuel D. & Scott, Marc A., 2021. "Performance-based inventory classification methods for large-Scale multi-echelon replenishment systems," Omega, Elsevier, vol. 101(C).
    2. Sheikh-Zadeh, Alireza & Rossetti, Manuel D., 2020. "Classification methods for problem size reduction in spare part provisioning," International Journal of Production Economics, Elsevier, vol. 219(C), pages 99-114.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:navlog:v:30:y:1983:i:3:p:471-485. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1931-9193 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.